11121112112 has 80 divisors (see below), whose sum is σ = 24722703360. Its totient is φ = 4799558400.

The previous prime is 11121112039. The next prime is 11121112141. The reversal of 11121112112 is 21121112111.

11121112112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 269939 + ... + 308397.

It is an arithmetic number, because the mean of its divisors is an integer number (309033792).

Almost surely, 2^11121112112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11121112112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12361351680).

11121112112 is an abundant number, since it is smaller than the sum of its proper divisors (13601591248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11121112112 is a wasteful number, since it uses less digits than its factorization.

11121112112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38562 (or 38556 counting only the distinct ones).

The product of its digits is 8, while the sum is 14.

Adding to 11121112112 its reverse (21121112111), we get a palindrome (32242224223).

Subtracting 11121112112 from its reverse (21121112111), we obtain a palindrome (9999999999).

It can be divided in two parts, 1112111 and 2112, that multiplied together give a palindrome (2348778432).

The spelling of 11121112112 in words is "eleven billion, one hundred twenty-one million, one hundred twelve thousand, one hundred twelve".